We prove that, for a hyperbolic two-bridge knot, infinitely many Dehn fillings are rigid in SO_0(4, 1). Here rigidity means that any discrete and faithful representation in SO_0(4, 1) is conjugate to the holonomy representation in SO_0(3, 1). We also show local rigidity for almost all Dehn fillings.
S. Francaviglia, J. Porti (2008). Rigidity of representations in SO(4,1) for Dehn fillings on 2-bridge knots. PACIFIC JOURNAL OF MATHEMATICS, 238(2), 249-274 [10.2140/pjm.2008.238.249].
Rigidity of representations in SO(4,1) for Dehn fillings on 2-bridge knots.
FRANCAVIGLIA, STEFANO;
2008
Abstract
We prove that, for a hyperbolic two-bridge knot, infinitely many Dehn fillings are rigid in SO_0(4, 1). Here rigidity means that any discrete and faithful representation in SO_0(4, 1) is conjugate to the holonomy representation in SO_0(3, 1). We also show local rigidity for almost all Dehn fillings.File in questo prodotto:
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